Which expression represents a number that is 8 times as large as 19, 520 - 1,478?
1 answer:
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Answer:
Does not exceed 2% in both cases.
Step-by-step explanation:
Given that a manufacturer of interocular lenses will qualify a new grinding machine if there is evidence that the percentage of polished lenses that contain surface defects does not exceed 2%.
Sample proportion =
Create hypothesses as
(Right tailed test at 5% significance level)
P difference = 0.004
Std error = 0.0089
test statistic Z = p diff/std error = 0.4518
p value = 0.326
Since p >alpha, we accept nullhypothesis
b) For confidence interval 97% we have
Margin of error = 2.17* std error = 0.0192
Confidence interval
=
Since 2% = 0.02 lies within this interval we accept null hypothesis.
Does not exceed 2%
Since
The slope of line through given points is -12/29
Step-by-step explanation:
Given points are:
(-26, -37) and (32, -61)
Let
(x1,y1) =(-26, -37)
And
(x2,y2) = (32, -61)
Slope (steepness) of a line, denoted by m, is given by the formula
Putting the values
Hence,
The slope of line through given points is -12/29
Keywords: Slope, line segment
Learn more about slope at:
#LearnwithBrainly
Answer:
Therefore,
The value of arcsin(0) is 0° or 180° or 360° or 540° or n×180° so on.
Step-by-step explanation:
To Find:
arcsin(0) in degrees =?
Solution:
' arcsin ' a mathematical function that is the inverse of the sine function.
Therefore, arcsin (x) is called the inverse sine function.
It is the angle whose sine is the number x.
So here we require angle in degree for which the Sine is '0'.
It is also written as
We Know that
Therefore,
Also integer multiples of 180° will have
Where n = integer
Therefore for '0' we can have 2×180° , 3×180° , 4×180°....and so on i.e 360° , 540° and so on
Therefore,
The value of arcsin(0) is 0° or 180° or 360° or 540° or n×180° so on.